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• W2229126685 abstract "Consider a Boolean model $Sigma$ in $R^d$. The centers are given by a homogeneous Poisson point process with intensity $lambda$ and the radii of distinct balls are i.i.d. with common distribution $nu$. The critical covered volume is the proportion of space covered by $Sigma$ when the intensity $lambda$ is critical for percolation. Previous numerical simulations and heuristic arguments suggest that the critical covered volume may be minimal when $nu$ is a Dirac measure. In this paper, we prove that it is not the case in sufficiently high dimension." @default.
• W2229126685 created "2016-06-24" @default.
• W2229126685 creator A5005210534 @default.
• W2229126685 creator A5032493072 @default.
• W2229126685 date "2014-09-25" @default.
• W2229126685 modified "2023-09-23" @default.
• W2229126685 title "Non-optimality of constant radii in high dimensional continuum percolation" @default.
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• W2229126685 hasPublicationYear "2014" @default.
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